A Student's Guide to Maxwell's Equations

Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 9781139468473
Category: Science
Page: N.A
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Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

Maxwell's Equations

Author: Paul G. Huray
Publisher: John Wiley & Sons
ISBN: 0470549904
Category: Science
Page: 312
View: 9739

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An authoritative view of Maxwell's Equations that takes theory to practice Maxwell's Equations is a practical guide to one of the most remarkable sets of equations ever devised. Professor Paul Huray presents techniques that show the reader how to obtain analytic solutions for Maxwell's equations for ideal materials and boundary conditions. These solutions are then used as a benchmark for solving real-world problems. Coverage includes: An historical overview of electromagnetic concepts before Maxwell and how we define fundamental units and universal constants today A review of vector analysis and vector operations of scalar, vector, and tensor products Electrostatic fields and the interaction of those fields with dielectric materials and good conductors A method for solving electrostatic problems through the use of Poisson's and Laplace's equations and Green's function Electrical resistance and power dissipation; superconductivity from an experimental perspective; and the equation of continuity An introduction to magnetism from the experimental inverse square of the Biot-Savart law so that Maxwell's magnetic flux equations can be deduced Maxwell's Equations serves as an ideal textbook for undergraduate students in junior/senior electromagnetics courses and graduate students, as well as a resource for electrical engineers.

Electricity and Magnetism for Mathematicians

A Guided Path from Maxwell's Equations to Yang-Mills
Author: Thomas A. Garrity
Publisher: Cambridge University Press
ISBN: 1107435161
Category: Mathematics
Page: 294
View: 6282

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Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.

An Introduction to Electromagnetic Wave Propagation and Antennas

Author: Shane Cloude
Publisher: Springer Science & Business Media
ISBN: 9780387915012
Category: Technology & Engineering
Page: 176
View: 2177

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This highly illustrated and accessible text will be an ideal introduction to the application of electromagnetics (EM) following an initial course in basic EM theory. The book covers the well established structure of elementary EM courses, beginning with Maxwell’s equations in integral form and developing the wave equation to show the essential properties of waves. In addition to providing a grounding in this traditional curriculum, the principal concern throughout is to make difficult concepts of electromagnetism more accessible. The adoption of time domain methods for this purpose is the book’s most important breakthrough, allowing the fundamentals of applied electromagnetics to be introduced with a clarity and simplicity not available through the conventional route. Another new aspect of this book is the integration of computational modelling methods with the standard theory of electromagnetic waves. The author presents a set of example programs written in the MATLAB language to support the ideas outlined in the text. The book is organized in a logical progression of ideas, starting with the general idea of wave motion and showing how the equations of electricity and magnetism lead to the existence of electromagnetic waves through the Maxwell’s equations. These ideas are then applied to simple accelerating charge models used in the engineering design of wire antennas. The concepts of resonance and antenna impedance are then treated from a time domain point of view. To reinforce the concepts of wave propagation, a chapter on computer modelling shows the rigorous procedures required to generate accurate numerical models of wave dynamics. The author extends these ideas to consider the properties of aperture antennas, showing how their important properties can be incorporated with the basic themes introduced earlier in the book. Finally, the important topic of wave scattering is introduced, once again from the point of view of time domain concepts.

Maxwell’s Equations and the Principles of Electromagnetism

Author: Richard Fitzpatrick
Publisher: Jones & Bartlett Publishers
ISBN: 1934015202
Category: Science
Page: 438
View: 1080

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Designed for upper division electromagnetism courses or as a reference for electrical engineers and scientists, this book introduces Maxwell’s equations and electromagnetic waves as soon as possible (i.e., in the first third of the book), and then goes on to discuss electrostatics, magnetostatics, induction, etc., in the light of those equations. The book also provides a thorough discussion of vector field theory which emphasizes the rotational invariance of the dot and cross products, together with div, grad, and curl, and thus gives a clear physical motivation for the use of those constructs to describe electric and magnetic fields. Unlike many competing books, Maxwell’s Equations & the Principles of Electromagnetism covers topics such as advanced potentials, retarded fields, forces on dielectric liquids, antenna theory, and Faraday rotations.

Introduction to Engineering Electromagnetic Fields

Author: K Umashankar
Publisher: World Scientific Publishing Company
ISBN: 9813103744
Category: Technology & Engineering
Page: 676
View: 7456

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This is a textbook designed to provide analytical background material in the area of Engineering Electromagnetic Fields for the senior level undergraduate and preparatory level graduate electrical engineering students. It is also an excellent reference book for researchers in the field of computational electromagnetic fields. The textbook covers — Static Electric and Magnetic Fields: The basic laws governing the Electrostatics, Magnetostatics with engineering examples are presented which are enough to understand the fields and the electric current and charge sources. Dynamic Electromagnetic Fields: The Maxwell's equations in Time-Domain and solutions, the Maxwell's equations in Frequency-Domain and solutions. Extensive approaches are presented to solve partial differential equations satisfying electromagnetic boundary value problems. Foundation to electromagnetic field radiation, guided wave propagation is discussed to expose at the undergraduate level application of the Maxwell's equations to practical engineering problems. Request Inspection Copy


Author: David J. Griffiths
Publisher: Pearson Deutschland GmbH
ISBN: 386894057X
Category: Electrodynamics
Page: 708
View: 1864

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An Introduction to Metamaterials and Waves in Composites

Author: Biswajit Banerjee
Publisher: CRC Press
ISBN: 1439841578
Category: Science
Page: 375
View: 786

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Requiring no advanced knowledge of wave propagation, An Introduction to Metamaterials and Waves in Composites focuses on theoretical aspects of metamaterials, periodic composites, and layered composites. The book gives novices a platform from which they can start exploring the subject in more detail. After introducing concepts related to elasticity, acoustics, and electrodynamics in media, the text presents plane wave solutions to the equations that describe elastic, acoustic, and electromagnetic waves. It examines the plane wave expansion of sources as well as scattering from curved interfaces, specifically spheres and cylinders. The author then covers electrodynamic, acoustic, and elastodynamic metamaterials. He also describes examples of transformations, aspects of acoustic cloaking, and applications of pentamode materials to acoustic cloaking. With a focus on periodic composites, the text uses the Bloch-Floquet theorem to find the effective behavior of composites in the quasistatic limit, presents the quasistatic equations of elastodynamic and electromagnetic waves, and investigates Brillouin zones and band gaps in periodic structures. The final chapter discusses wave propagation in smoothly varying layered media, anisotropic density of a periodic layered medium, and quasistatic homogenization of laminates. This book provides a launch pad for research into elastic and acoustic metamaterials. Many of the ideas presented have yet to be realized experimentally—the book encourages readers to explore these ideas and bring them to technological maturity.

Finite Element Methods for Maxwell's Equations

Author: Peter Monk,Department of Mathematics Sciences Peter Monk, PH.
Publisher: Oxford University Press
ISBN: 9780198508885
Category: Mathematics
Page: 450
View: 3186

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The emphasis in on finite element methods for scattering problems that involve the solution of Maxwell's equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell's equations is the main focus of the book.

Electromagnetic Fields and Waves

Author: Vladimir Rojansky
Publisher: Courier Corporation
ISBN: 0486147738
Category: Science
Page: 464
View: 5395

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This comprehensive introduction to classical electromagnetic theory covers the major aspects, including scalar fields, vectors, laws of Ohm, Joule, Coulomb, Faraday, Maxwell's equation, and more. With numerous diagrams and illustrations.

An Introduction to Applied Electromagnetics and Optics

Author: Vladimir V. Mitin,Dmitry I. Sementsov
Publisher: CRC Press
ISBN: 1498776302
Category: Technology & Engineering
Page: 368
View: 7582

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Modern technology is rapidly developing and for this reason future engineers need to acquire advanced knowledge in science and technology, including electromagnetic phenomena. This book is a contemporary text of a one-semester course for junior electrical engineering students. It covers a broad spectrum of electromagnetic phenomena such as, surface waves, plasmas, photonic crystals, negative refraction as well as related materials including superconductors. In addition, the text brings together electromagnetism and optics as the majority of texts discuss electromagnetism disconnected from optics. In contrast, in this book both are discussed. Seven labs have been developed to accompany the material of the book.


Author: John C. Slater,Nathaniel H. Frank
Publisher: Courier Corporation
ISBN: 0486150402
Category: Science
Page: 256
View: 5284

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A basic introduction to electromagnetism, supplying the fundamentals of electrostatics and magnetostatics, in addition to a thorough investigation of electromagnetic theory. Numerous problems and references. Calculus and differential equations required. 1947 edition.

Essentials of Electromagnetics for Engineering

Author: David A. de Wolf
Publisher: Cambridge University Press
ISBN: 9780521662819
Category: Science
Page: 509
View: 921

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Essentials of Electromagnetics for Engineering, first published in 2000, provides a clearly written introduction to the key physical and engineering principles of electromagnetics. Throughout the book, the author describes the intermediate steps in mathematical derivations that many other textbooks leave out. The author begins by examining Coulomb's law and simple electrostatics, covering in depth the concepts of fields and potentials. He then progresses to magnetostatics and Maxwell's equations. This approach leads naturally to a discussion of electrodynamics and the treatment of wave propagation, waveguides, transmission lines, and antennas. At each stage, the author stresses the physical principles underlying the mathematical results. Many homework exercises are provided, including several in Matlab and Mathematica formats. The book contains a separate chapter on numerical methods in electromagnetics, and a broad range of worked examples to illustrate important concepts. It is suitable as a textbook for undergraduate students of engineering and applied physics taking introductory courses in electromagnetics.

An Introduction to the Theory of the Boltzmann Equation

Author: Stewart Harris
Publisher: Courier Corporation
ISBN: 0486143821
Category: Science
Page: 256
View: 8020

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This introductory graduate-level text emphasizes physical aspects of the theory of Boltzmann's equation in a detailed presentation that doubles as a practical resource for professionals. 1971 edition.

Magnetic Fields, Special Relativity and Potential Theory

Elementary Electromagnetic Theory
Author: B. H. Chirgwin,C. Plumpton,C. W. Kilmister
Publisher: Elsevier
ISBN: 148313931X
Category: Science
Page: 252
View: 5309

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Magnetic Fields, Special Relativity and Potential Theory is an introduction to electromagnetism, special relativity, and potential theory, with emphasis on the magnetic field of steady currents (magnetostatics). Topics covered range from the origin of the magnetic field and the magnetostatic scalar potential to magnetization, electromagnetic induction and magnetic energy, and the displacement current and Maxwell's equations. This volume is comprised of five chapters and begins with an overview of magnetostatics, followed by a chapter on the methods of solving potential problems drawn from electrostatics, magnetism, current flow, and gravitation. Relaxing the constraint of stationary steady currents, the next chapter considers electromagnetic induction when the current strengths in closed circuits vary or when the circuits move. This leads to the necessity of assessing the breakdown of Newtonian ideas and the introduction of special relativity. When the constraint of closed circuits is further relaxed and the motion of charges in open circuits is taken into account, the discussion turns to displacement current because of the relativistic theory already set up, leading to Maxwell's equations. This book will be a valuable resource for undergraduate students of physics.

Innovation in Maxwell's Electromagnetic Theory

Molecular Vortices, Displacement Current, and Light
Author: Daniel M. Siegel
Publisher: Cambridge University Press
ISBN: 9780521533294
Category: Science
Page: 240
View: 2899

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Siegel's close analysis of the original texts - with careful attention to the equations as well as to the words - reveals that mechanical modeling played a crucial role in Maxwell's initial conceptualizations of the displacement current and the electromagnetic character of light.

An Introduction to Ocean Remote Sensing

Author: Seelye Martin
Publisher: Cambridge University Press
ISBN: 9780521802802
Category: Science
Page: 426
View: 3686

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Originally published in 2004, An Introduction to Ocean Remote Sensing describes the use of satellite data in the retrieval of oceanic physical and biological properties. It gives examples of the kinds of data that can be acquired and describes their oceanographic application. It also describes national and international programs in satellite oceanography. The book covers radiative transfer, ocean surface properties, satellite orbits, instruments and methods, visible remote sensing of biological properties, infrared sea surface temperature retrieval, passive microwave measurements, scatterometer wind retrieval, altimetry and SAR. Newer techniques, such as polarimetric passive microwave radiometers and SARs, interferometric radar altimetry and sea surface salinity retrieval are also discussed. This textbook is designed for graduate and senior undergraduate courses in satellite oceanography, and will prepare students and interested scientists to use satellite data in oceanographic research.